摘要
康托集分解为2n个分离闭子集C=C1∪C2∪…C2n,则存在f∶C→C满足f同胚映射,f∶Ci→C2n-1+i x<y∈Ci f(x)<f(y)或x<y x∈Ci y∈Ci f(x)>f(y)i=1,2…2n-1f∶C2n-1+j→Cj x<y x∈C2n-1+j y∈C2n-1+j f(x)<f(y)或f(x)>f(y)j=1,2…2n-1 f∶En→Em n>m≥1 f连续映射.至少有不可数多个反极点Pα-Pαα∈A A不可数.f(Pα)=f(-Pα).
Candor set denote C1, C2,……, C2., Close set disyoiul exist f: C→C. Hememorphism mapping satisfy f:Ci x〈y ∈Ci f(x)〈f(y) or x〈y x∈Ci y∈Ci f(x)〉f(y) i=1,2…2^n-1 f: C2^n-1+j→Cj x〈y x∈2^n-1+j y∈C2^n-1+j f(x)〈f(y) or f(x)〉f(y) j=1,2…2^n-1 f: E^n→E^m n 〉 m ≥ 1 f Contiunus mapping exist not countable antipodal point Pα ∈ E^n, - Pα ∈ E^n α ∈ A A no countable f(Pα) =f( - Pα).
出处
《辽宁大学学报(自然科学版)》
CAS
2009年第1期43-44,共2页
Journal of Liaoning University:Natural Sciences Edition
关键词
康托集
同胚映射
反极点
Candor set
Hememorphism napping
Antipode point.